# What is the density of a sample of a liquid, given that 2.00 feet cubed of the liquid weighs 97.5 pounds?

Sep 9, 2016

The density of the liquid is ${\text{12.2 lb/ft}}^{3}$.

#### Explanation:

The density (ρ) of anything is its mass ($m$) divided by its volume ($V$).

color(blue)(bar(ul(|color(white)(a/a)ρ = m/Vcolor(white)(a/a)|)))" "

The volume of a cube is

$\textcolor{b l u e}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} V = {l}^{3} \textcolor{w h i t e}{\frac{a}{a}} |}}} \text{ }$

where $l$ is the length of an edge.

V = l^3 = ("2.00 ft")^3 = "8.00 ft"^3

ρ = m/V = "97.5 lb"/("8.00 ft"^3) = "12.2 lb/ft"^3